Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Vector Addition
Vector Subtraction
Vector Components

Formulas

Vector Addition: a + b = (a_x + b_x)i + (a_y + b_y)j + (a_z + b_z)k
Vector Subtraction: a - b = (a_x - b_x)i + (a_y - b_y)j + (a_z - b_z)k
Balancing Vectors: c = -(a - b)

Theorems

Vector Component Theorem

Suitable Grade Level

Grade 10-12 (High School Physics/Math)